102122130033 has 48 divisors (see below), whose sum is σ = 184678041600. Its totient is φ = 52828403040.

The previous prime is 102122129987. The next prime is 102122130109. The reversal of 102122130033 is 330031221201.

It is not a de Polignac number, because 102122130033 - 2⁹ = 102122129521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102122129988 and 102122130015.

It is not an unprimeable number, because it can be changed into a prime (102122130133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142663 + ... + 473916.

It is an arithmetic number, because the mean of its divisors is an integer number (3847459200).

Almost surely, 2^102122130033 is an apocalyptic number.

It is an amenable number.

102122130033 is a deficient number, since it is larger than the sum of its proper divisors (82555911567).

102122130033 is a wasteful number, since it uses less digits than its factorization.

102122130033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616842 (or 616839 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102122130033 its reverse (330031221201), we get a palindrome (432153351234).

The spelling of 102122130033 in words is "one hundred two billion, one hundred twenty-two million, one hundred thirty thousand, thirty-three".